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Finding the Third Proportional to 58,805 and 88,340

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Solution

The third proportional to 58,805 and 88,340 is: 132,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,805 : 88,340 = 88,340 : x
  2. Step 2: Convert to fraction form
    58,805/88,340 = 88,340/x
  3. Step 3: Cross multiply
    58,805x = 88,340 × 88,340
  4. Step 4: Simplify right side
    58,805x = 7,803,955,600
  5. Step 5: Solve for x
    x = 7,803,955,600/58,805
  6. Step 6: Final answer
    x = 132,709.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.